GCF of 807/270, 2314/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 807/270, 2314/457 i.e 1/123390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/270, 2314/457.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 807/270,2314/457?
Given fractions are 807/270,2314/457
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 807/270,2314/457, numerators are 807,2314
Denominators are 270,457
The GCF of 807,2314 is 1 .
LCM of 270,457 is 123390.
The greatest common factor of 807/270,2314/457 = [GCF of 807,2314]/[LCM of 270,457]= 1/123390
Therefore, the GCF of 807/270,2314/457 is 1/123390.
To find the highest common factor of 807,2314, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The HCF of 807,2314 is 1.
Lets's calculate GCF of 807,2314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 807,2314 By Matching Biggest Common Factor Method
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 807,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 807,2314 is 1.
Lets's calculate LCM of 270,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 123390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123390
Therefore, the GCF of Fractions 807/270,2314/457 is 1/123390
Least Common Multiple of 270,457 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 270,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,457) x common factors =1 x 1 = 1
LCM(270,457) = ( 270 × 457 ) / 1
LCM(270,457) = 123390 / 1
LCM(270,457) = 123390
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FAQs on GCF of Fractions of 807/270, 2314/457
1. What is the HCF of 807,2314?
The HCF of 807,2314 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 807/270, 2314/457?
Answer: GCF of Numerators as per given numbers 807/270, 2314/457 is
GCF of Numerators i.e. for 807,2314 is 1
LCM of denominators i.e. for 270,457 is 123390.
Thus, GCF of Fractions is 1/123390.Finally, GCF of Fractions for 807/270, 2314/457 is 1/123390.